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Finding the Fourth Proportional to 172,101.20, 258,151.80 and 45,741.20

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Solution

The fourth proportional to 172,101.20, 258,151.80 and 45,741.20 is: 68,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,101.20 : 258,151.80 = 45,741.20 : x
  2. Step 2: Convert to fraction form
    172,101.20/258,151.80 = 45,741.20/x
  3. Step 3: Cross multiply
    172,101.20x = 258,151.80 × 45,741.20
  4. Step 4: Simplify right side
    172,101.20x = 11,808,173,114.16
  5. Step 5: Solve for x
    x = 11,808,173,114.16/172,101.20
  6. Step 6: Final answer
    x = 68,611.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.